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Finding the Fourth Proportional to 3,557, 5,313.91 and 2,973.80

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Solution

The fourth proportional to 3,557, 5,313.91 and 2,973.80 is: 4,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557 : 5,313.91 = 2,973.80 : x
  2. Step 2: Convert to fraction form
    3,557/5,313.91 = 2,973.80/x
  3. Step 3: Cross multiply
    3,557x = 5,313.91 × 2,973.80
  4. Step 4: Simplify right side
    3,557x = 15,802,505.56
  5. Step 5: Solve for x
    x = 15,802,505.56/3,557
  6. Step 6: Final answer
    x = 4,442.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.